{"id":103063,"date":"2025-06-16T14:43:53","date_gmt":"2025-06-16T12:43:53","guid":{"rendered":"https:\/\/www.linseis.com\/sem-categoria\/expansao-termica\/"},"modified":"2026-01-12T09:30:34","modified_gmt":"2026-01-12T08:30:34","slug":"expansao-termica","status":"publish","type":"post","link":"https:\/\/www.linseis.com\/pt-pt\/conhecimentos\/expansao-termica\/","title":{"rendered":"Expans\u00e3o t\u00e9rmica"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"103063\" class=\"elementor elementor-103063 elementor-87275\" data-elementor-post-type=\"post\">\n\t\t\t\t<div class=\"elementor-element elementor-element-20e7cce e-con-full e-flex e-con e-parent\" data-id=\"20e7cce\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t<div class=\"elementor-element elementor-element-330d9bc e-con-full e-flex e-con e-child\" data-id=\"330d9bc\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t<div class=\"elementor-element elementor-element-2fab8da e-con-full e-flex e-con e-child\" data-id=\"2fab8da\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t<div class=\"elementor-element elementor-element-756ba2d e-con-full e-flex e-con e-child\" data-id=\"756ba2d\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t<div class=\"elementor-element elementor-element-54ab761 e-con-full e-flex e-con e-child\" data-id=\"54ab761\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-6204ea8 elementor-toc--minimized-on-tablet elementor-invisible elementor-widget elementor-widget-table-of-contents\" data-id=\"6204ea8\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;headings_by_tags&quot;:[&quot;h2&quot;],&quot;_animation&quot;:&quot;fadeInUp&quot;,&quot;no_headings_message&quot;:&quot;No headings were found on this page.&quot;,&quot;marker_view&quot;:&quot;numbers&quot;,&quot;minimize_box&quot;:&quot;yes&quot;,&quot;minimized_on&quot;:&quot;tablet&quot;,&quot;hierarchical_view&quot;:&quot;yes&quot;,&quot;min_height&quot;:{&quot;unit&quot;:&quot;px&quot;,&quot;size&quot;:&quot;&quot;,&quot;sizes&quot;:[]},&quot;min_height_tablet&quot;:{&quot;unit&quot;:&quot;px&quot;,&quot;size&quot;:&quot;&quot;,&quot;sizes&quot;:[]},&quot;min_height_mobile&quot;:{&quot;unit&quot;:&quot;px&quot;,&quot;size&quot;:&quot;&quot;,&quot;sizes&quot;:[]}}\" data-widget_type=\"table-of-contents.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-toc__header\">\n\t\t\t\t\t\t<h2 class=\"elementor-toc__header-title\">\n\t\t\t\tO \u00edndice:\t\t\t<\/h2>\n\t\t\t\t\t\t\t\t\t\t<div class=\"elementor-toc__toggle-button elementor-toc__toggle-button--expand\" role=\"button\" tabindex=\"0\" aria-controls=\"elementor-toc__6204ea8\" aria-expanded=\"true\" aria-label=\"Open table of contents\"><svg aria-hidden=\"true\" class=\"e-font-icon-svg e-fas-chevron-down\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M207.029 381.476L12.686 187.132c-9.373-9.373-9.373-24.569 0-33.941l22.667-22.667c9.357-9.357 24.522-9.375 33.901-.04L224 284.505l154.745-154.021c9.379-9.335 24.544-9.317 33.901.04l22.667 22.667c9.373 9.373 9.373 24.569 0 33.941L240.971 381.476c-9.373 9.372-24.569 9.372-33.942 0z\"><\/path><\/svg><\/div>\n\t\t\t\t<div class=\"elementor-toc__toggle-button elementor-toc__toggle-button--collapse\" role=\"button\" tabindex=\"0\" aria-controls=\"elementor-toc__6204ea8\" aria-expanded=\"true\" aria-label=\"Close table of contents\"><svg aria-hidden=\"true\" class=\"e-font-icon-svg e-fas-chevron-up\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M240.971 130.524l194.343 194.343c9.373 9.373 9.373 24.569 0 33.941l-22.667 22.667c-9.357 9.357-24.522 9.375-33.901.04L224 227.495 69.255 381.516c-9.379 9.335-24.544 9.317-33.901-.04l-22.667-22.667c-9.373-9.373-9.373-24.569 0-33.941L207.03 130.525c9.372-9.373 24.568-9.373 33.941-.001z\"><\/path><\/svg><\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<div id=\"elementor-toc__6204ea8\" class=\"elementor-toc__body\">\n\t\t\t<div class=\"elementor-toc__spinner-container\">\n\t\t\t\t<svg class=\"elementor-toc__spinner eicon-animation-spin e-font-icon-svg e-eicon-loading\" aria-hidden=\"true\" viewBox=\"0 0 1000 1000\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M500 975V858C696 858 858 696 858 500S696 142 500 142 142 304 142 500H25C25 237 238 25 500 25S975 237 975 500 763 975 500 975Z\"><\/path><\/svg>\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-b10c2f5 elementor-widget elementor-widget-spacer\" data-id=\"b10c2f5\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-8a71db9 elementor-widget elementor-widget-spacer\" data-id=\"8a71db9\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-5ef1fd4 elementor-invisible elementor-widget elementor-widget-heading\" data-id=\"5ef1fd4\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Expans\u00e3o t\u00e9rmica<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-2a88229 elementor-invisible elementor-widget elementor-widget-heading\" data-id=\"2a88229\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">Introdu\u00e7\u00e3o \u00e0 dilata\u00e7\u00e3o t\u00e9rmica<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-77833f4 elementor-invisible elementor-widget elementor-widget-text-editor\" data-id=\"77833f4\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>A dilata\u00e7\u00e3o t\u00e9rmica &#8211; tamb\u00e9m conhecida como dilata\u00e7\u00e3o t\u00e9rmica &#8211; \u00e9 um fen\u00f3meno f\u00edsico igualmente relevante na vida quotidiana e na tecnologia. Descreve a altera\u00e7\u00e3o das dimens\u00f5es geom\u00e9tricas de um corpo quando a sua temperatura muda. Compreender e medir com precis\u00e3o esta propriedade \u00e9 particularmente importante na constru\u00e7\u00e3o, engenharia mec\u00e2nica e investiga\u00e7\u00e3o de materiais.    <\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-50e1380 elementor-invisible elementor-widget elementor-widget-heading\" data-id=\"50e1380\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Fundamentos da dilata\u00e7\u00e3o t\u00e9rmica<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-cffc1d6 elementor-invisible elementor-widget elementor-widget-heading\" data-id=\"cffc1d6\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">O que \u00e9 a expans\u00e3o t\u00e9rmica?<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-d182312 elementor-invisible elementor-widget elementor-widget-text-editor\" data-id=\"d182312\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Um aumento da temperatura aumenta o movimento molecular ao n\u00edvel das part\u00edculas de um material e, consequentemente, a sua necessidade de espa\u00e7o tamb\u00e9m aumenta. O efeito resultante \u00e9 uma expans\u00e3o do material. Quando arrefece, a necessidade de espa\u00e7o diminui novamente e ocorre a contra\u00e7\u00e3o t\u00e9rmica.    <\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-0f43171 elementor-invisible elementor-widget elementor-widget-heading\" data-id=\"0f43171\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">Causas e princ\u00edpio f\u00edsico<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-a261340 elementor-invisible elementor-widget elementor-widget-text-editor\" data-id=\"a261340\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<ul><li>A raz\u00e3o para isso \u00e9 o aumento da energia cin\u00e9tica das part\u00edculas durante o aquecimento.<\/li><li>Isto aumenta a dist\u00e2ncia entre as part\u00edculas.<\/li><li>Cada material tem um coeficiente de dilata\u00e7\u00e3o carater\u00edstico, que indica o quanto se dilata quando a temperatura muda, dependendo das part\u00edculas que cont\u00e9m e dos seus graus de liberdade.<\/li><\/ul>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-affb892 elementor-invisible elementor-widget elementor-widget-heading\" data-id=\"affb892\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Formas de expans\u00e3o t\u00e9rmica<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-397871d elementor-invisible elementor-widget elementor-widget-text-editor\" data-id=\"397871d\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>A dilata\u00e7\u00e3o t\u00e9rmica pode manifestar-se em diferentes dimens\u00f5es, consoante a forma do corpo e a composi\u00e7\u00e3o do material: em comprimento, \u00e1rea ou volume.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-81c6ff9 elementor-invisible elementor-widget elementor-widget-heading\" data-id=\"81c6ff9\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">Expans\u00e3o linear<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-521c097 elementor-invisible elementor-widget elementor-widget-text-editor\" data-id=\"521c097\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Na expans\u00e3o linear, o comprimento de um corpo muda ao longo de um eixo, por exemplo, no caso de uma barra de metal, que se alonga visivelmente quando aquecida. Esta forma de expans\u00e3o t\u00e9rmica \u00e9 f\u00e1cil de medir e \u00e9 a aplica\u00e7\u00e3o mais comum.   <\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-499af99 elementor-invisible elementor-widget elementor-widget-heading\" data-id=\"499af99\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">Expans\u00e3o da superf\u00edcie<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-7083afa elementor-invisible elementor-widget elementor-widget-text-editor\" data-id=\"7083afa\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Isto aumenta a \u00e1rea de superf\u00edcie de um corpo &#8211; normalmente no caso de folhas ou l\u00e2minas que se expandem uniformemente em duas direc\u00e7\u00f5es espaciais.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-8709bba elementor-invisible elementor-widget elementor-widget-heading\" data-id=\"8709bba\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">Expans\u00e3o do volume<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-1303a2e elementor-invisible elementor-widget elementor-widget-text-editor\" data-id=\"1303a2e\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>A expans\u00e3o de volume refere-se \u00e0 expans\u00e3o espacial nas tr\u00eas direc\u00e7\u00f5es. Ocorre principalmente em l\u00edquidos e gases, mas tamb\u00e9m pode ser observada em s\u00f3lidos e pode ser calculada em parte a partir da expans\u00e3o linear de um eixo.   <\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-5fe1e3d elementor-widget__width-initial elementor-invisible elementor-widget elementor-widget-image\" data-id=\"5fe1e3d\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t<figure class=\"wp-caption\">\n\t\t\t\t\t\t\t\t\t\t<img fetchpriority=\"high\" decoding=\"async\" width=\"800\" height=\"800\" src=\"https:\/\/www.linseis.com\/wp-content\/uploads\/2025\/06\/Thermal-Expansion-1.png\" class=\"attachment-large size-large wp-image-85844\" alt=\"\" srcset=\"https:\/\/www.linseis.com\/wp-content\/uploads\/2025\/06\/Thermal-Expansion-1.png 1024w, https:\/\/www.linseis.com\/wp-content\/uploads\/2025\/06\/Thermal-Expansion-1-300x300.png 300w, https:\/\/www.linseis.com\/wp-content\/uploads\/2025\/06\/Thermal-Expansion-1-150x150.png 150w, https:\/\/www.linseis.com\/wp-content\/uploads\/2025\/06\/Thermal-Expansion-1-768x768.png 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/>\t\t\t\t\t\t\t\t\t\t\t<figcaption class=\"widget-image-caption wp-caption-text\"><\/figcaption>\n\t\t\t\t\t\t\t\t\t\t<\/figure>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-3120c46 elementor-invisible elementor-widget elementor-widget-heading\" data-id=\"3120c46\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Descri\u00e7\u00e3o matem\u00e1tica<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-aae0b1f elementor-invisible elementor-widget elementor-widget-heading\" data-id=\"aae0b1f\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">Expans\u00e3o linear<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-e48ceb0 elementor-invisible elementor-widget elementor-widget-text-editor\" data-id=\"e48ceb0\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>\\(<br>\\Delta L = \\alpha \\cdot L_0 \\cdot \\Delta T<br>\\quad \\text{mit} \\quad<br>\\begin{cases}<br>\\Delta L : \\text{altera\u00e7\u00e3o do comprimento (m)} \\\\<br>\\alpha : \\text{coeficiente de expans\u00e3o linear (1\/K)} \\\\<br>L_0 : \\text{comprimento inicial (m)} \\\\<br>\\Delta T : \\text{altera\u00e7\u00e3o de temperatura (K)}<br>\\end{cases}<br>\\)<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-fec8579 elementor-widget elementor-widget-spacer\" data-id=\"fec8579\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-117eb24 elementor-invisible elementor-widget elementor-widget-heading\" data-id=\"117eb24\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">Expans\u00e3o do volume<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-1c7748e elementor-invisible elementor-widget elementor-widget-text-editor\" data-id=\"1c7748e\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>\\(<br>\\Delta V = \\gamma \\cdot V_0 \\cdot \\Delta T<br>\\quad \\text{mit} \\quad<br>\\begin{cases}<br>\\Delta V : \\text{altera\u00e7\u00e3o de volume (m\u00b3)} \\\\<br>\\gamma : \\text{coeficiente de expans\u00e3o do volume (1\/K)} \\\\<br>V_0 : \\text{volume inicial (m\u00b3)} \\\\<br>\\Delta T : \\text{altera\u00e7\u00e3o de temperatura (K)}<br>\\end{cases}<br>\\)<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-10ceced elementor-widget elementor-widget-spacer\" data-id=\"10ceced\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-eee1ba8 elementor-invisible elementor-widget elementor-widget-heading\" data-id=\"eee1ba8\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">M\u00e9todos de medi\u00e7\u00e3o para determinar a dilata\u00e7\u00e3o t\u00e9rmica<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-727b42d elementor-invisible elementor-widget elementor-widget-heading\" data-id=\"727b42d\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">Dilat\u00f4metro<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-f231dcf elementor-invisible elementor-widget elementor-widget-text-editor\" data-id=\"f231dcf\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>A <a href=\"https:\/\/www.linseis.com\/messgeraete\/dilatometer\/\">\n  <strong>dilat\u00f3metro<\/strong>\n<\/a> mede a altera\u00e7\u00e3o do comprimento ou do volume de uma amostra com uma temperatura e uma altera\u00e7\u00e3o de temperatura definidas. A amostra \u00e9 aquecida ou arrefecida e a sua altera\u00e7\u00e3o no comprimento \u00e9 transferida para um transdutor de deslocamento atrav\u00e9s de uma haste de press\u00e3o. A expans\u00e3o inerente do sistema de medi\u00e7\u00e3o \u00e9 compensada ou corrigida com a ajuda de material de refer\u00eancia.  <\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-2cf348c elementor-widget elementor-widget-spacer\" data-id=\"2cf348c\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-0687a0f elementor-invisible elementor-widget elementor-widget-text-editor\" data-id=\"0687a0f\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p><strong>Vari\u00e1veis t\u00edpicas medidas:<\/strong><\/p><ul><li><a href=\"https:\/\/www.linseis.com\/wissen\/bestimmung-der-cte-dichte\/\"><strong>Coeficiente linear de expans\u00e3o t\u00e9rmica (CTE)<\/strong><\/a><\/li><li>Temperaturas e fases de sinteriza\u00e7\u00e3o<\/li><li><a href=\"https:\/\/www.linseis.com\/wissen\/glasuebergangstemperatur\/\"><strong>Temperaturas de transi\u00e7\u00e3o v\u00edtrea (Tg)<\/strong><\/a><\/li><li>Transi\u00e7\u00f5es de fase<\/li><li><a href=\"https:\/\/www.linseis.com\/wissen\/bestimmung-der-cte-dichte\/\"><strong>Altera\u00e7\u00f5es de volume e densidade<\/strong><\/a><\/li><\/ul><p><strong>\u00c1reas de aplica\u00e7\u00e3o:<\/strong><\/p><ul><li>Materiais: metais, cer\u00e2micas, vidros, pol\u00edmeros, comp\u00f3sitos<\/li><li>Gama de temperaturas poss\u00edveis: -260 \u00b0C a +2800 \u00b0C (dependendo da configura\u00e7\u00e3o do dispositivo)<\/li><\/ul>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-eed1324 elementor-invisible elementor-widget elementor-widget-heading\" data-id=\"eed1324\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">An\u00e1lise termomec\u00e2nica (TMA)<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-4864a43 elementor-invisible elementor-widget elementor-widget-text-editor\" data-id=\"4864a43\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>A <a href=\"https:\/\/www.linseis.com\/messgeraete\/thermische-analyse\/tma-thermomechanische-analyse\/\">\n  <strong>an\u00e1lise termomec\u00e2nica (TMA)<\/strong>\n<\/a> \u00e9 um m\u00e9todo para medir altera\u00e7\u00f5es dimensionais sob tens\u00e3o mec\u00e2nica a uma temperatura espec\u00edfica. Uma sonda pressiona a amostra com uma for\u00e7a constante enquanto a temperatura \u00e9 lentamente alterada. Um sensor, frequentemente um transformador diferencial ou LVDT (Linear Variable Differential Transformer), mede as altera\u00e7\u00f5es resultantes no comprimento em tempo real.  <\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-29d7c21 elementor-widget elementor-widget-spacer\" data-id=\"29d7c21\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-8812c3b elementor-invisible elementor-widget elementor-widget-text-editor\" data-id=\"8812c3b\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p><strong>Propriedades medidas:<\/strong><\/p><ul><li>Expans\u00e3o linear e coeficiente de expans\u00e3o<\/li><li>Pontos de amolecimento<\/li><li>Processos de retra\u00e7\u00e3o durante a sinteriza\u00e7\u00e3o<\/li><li>Transi\u00e7\u00e3o v\u00edtrea, ponto de fus\u00e3o, cristaliza\u00e7\u00e3o<\/li><li>Flu\u00eancia e relaxamento (deforma\u00e7\u00e3o dependente do tempo sob carga)<\/li><\/ul><p><strong>Aplica\u00e7\u00f5es t\u00edpicas:<\/strong><\/p><ul><li>An\u00e1lise de s\u00f3lidos, l\u00edquidos e materiais pastosos<\/li><li>Adequado para: Pl\u00e1sticos, elast\u00f3meros, adesivos, metais, cer\u00e2mica, comp\u00f3sitos<\/li><li>Complementa outros m\u00e9todos, tais como <a href=\"https:\/\/www.linseis.com\/pt-pt\/?post_type=messgeraete&#038;p=103025\">\n  <strong>DSC<\/strong>\n<\/a>, <a href=\"https:\/\/www.linseis.com\/messgeraete\/tga-thermogravimetrie\/\">\n  <strong>TGA<\/strong>\n<\/a> e DMA<\/li><\/ul>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-d4cbe93 elementor-widget elementor-widget-spacer\" data-id=\"d4cbe93\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-9d000c2 elementor-invisible elementor-widget elementor-widget-text-editor\" data-id=\"9d000c2\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Gra\u00e7as \u00e0 sua elevada sensibilidade, o TMA permite n\u00e3o s\u00f3 a determina\u00e7\u00e3o da expans\u00e3o, mas tamb\u00e9m a dete\u00e7\u00e3o de transi\u00e7\u00f5es f\u00edsicas fracas &#8211; tais como altera\u00e7\u00f5es na rede cristalina, endurecimento ou delamina\u00e7\u00e3o. Isto torna-a uma ferramenta vers\u00e1til para a investiga\u00e7\u00e3o e a ind\u00fastria.   <\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-f03bf48 elementor-invisible elementor-widget elementor-widget-heading\" data-id=\"f03bf48\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Utiliza\u00e7\u00e3o de dilat\u00f3metros para analisar a dilata\u00e7\u00e3o t\u00e9rmica<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-c3b7d41 elementor-invisible elementor-widget elementor-widget-heading\" data-id=\"c3b7d41\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">Funcionalidade em pormenor<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-887d0a3 elementor-invisible elementor-widget elementor-widget-text-editor\" data-id=\"887d0a3\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Os dilat\u00f3metros s\u00e3o instrumentos importantes para determinar a expans\u00e3o t\u00e9rmica dos materiais. A medi\u00e7\u00e3o \u00e9 efectuada com componentes mec\u00e2nicos, como uma haste de press\u00e3o, ou sem contacto, com sensores \u00f3pticos. A amostra \u00e9 colocada num forno aquecido, no qual \u00e9 percorrido um perfil de temperatura definido. \u00c0 medida que a temperatura muda, um transdutor de deslocamento de alta precis\u00e3o mede a mudan\u00e7a no comprimento do material da amostra. Esta medi\u00e7\u00e3o pode ser utilizada para determinar o coeficiente linear de expans\u00e3o t\u00e9rmica (CTE) &#8211; um par\u00e2metro chave para descrever o comportamento t\u00e9rmico dos materiais.      <\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-67d18b5 elementor-widget elementor-widget-spacer\" data-id=\"67d18b5\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-f439301 elementor-invisible elementor-widget elementor-widget-text-editor\" data-id=\"f439301\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p><strong>As etapas mais importantes do processo de medi\u00e7\u00e3o:<\/strong><\/p><ul><li>A amostra \u00e9 aquecida ou arrefecida de forma controlada.<\/li><li>A altera\u00e7\u00e3o do comprimento resultante \u00e9 registada com grande precis\u00e3o.<\/li><li>O CET \u00e9 calculado a partir da rela\u00e7\u00e3o entre a varia\u00e7\u00e3o do comprimento e a varia\u00e7\u00e3o da temperatura.<\/li><\/ul><div> <\/div><p>Este m\u00e9todo permite uma resolu\u00e7\u00e3o na gama sub-microm\u00e9trica e \u00e9 adequado tanto para controlos de qualidade de rotina como para aplica\u00e7\u00f5es de investiga\u00e7\u00e3o.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-60aaa12 elementor-invisible elementor-widget elementor-widget-heading\" data-id=\"60aaa12\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">Aplica\u00e7\u00f5es e vari\u00e1veis t\u00edpicas medidas<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-50bc3df elementor-invisible elementor-widget elementor-widget-text-editor\" data-id=\"50bc3df\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Os dilat\u00f3metros fornecem uma variedade de par\u00e2metros mensur\u00e1veis que s\u00e3o de import\u00e2ncia central para o desenvolvimento de materiais e processos industriais:<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-7580681 elementor-invisible elementor-widget elementor-widget-text-editor\" data-id=\"7580681\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p><strong>Aplica\u00e7\u00f5es t\u00edpicas:<\/strong><\/p><ul><li>Determina\u00e7\u00e3o das transi\u00e7\u00f5es v\u00edtreas e das transi\u00e7\u00f5es de fase<\/li><li>An\u00e1lise do comportamento de retra\u00e7\u00e3o em processos de sinteriza\u00e7\u00e3o<\/li><li>Medi\u00e7\u00e3o das altera\u00e7\u00f5es de volume e densidade<\/li><li>Utiliza\u00e7\u00e3o na garantia de qualidade, desenvolvimento de materiais e investiga\u00e7\u00e3o<\/li><\/ul>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-4776162 elementor-invisible elementor-widget elementor-widget-heading\" data-id=\"4776162\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Diferen\u00e7as entre os materiais<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-3cde593 elementor-invisible elementor-widget elementor-widget-heading\" data-id=\"3cde593\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">Compara\u00e7\u00e3o dos coeficientes de expans\u00e3o<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-eff1649 elementor-invisible elementor-widget elementor-widget-text-editor\" data-id=\"eff1649\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<ul>\n \t<li>Pl\u00e1sticos: por exemplo, PE = 2<sup>.10-4<\/sup> <sup> K-1<\/sup> K<\/li>\n \t<li>Metais: alum\u00ednio = 23<sup>,8-10-6<\/sup> <sup> K-1<\/sup>, a\u00e7o = <sup> 11-1310-6<\/sup> <sup> K-1<\/sup> <\/li>\n \t<li>Cer\u00e2mica\/vidro: Al\u2082O\u2083 = 7<sup>,5-10-6<\/sup> <sup> K-1<\/sup> <\/li>\n \t<li>Materiais especiais: Invar = 0,55-1<sup>,2-10-6<\/sup> <sup> K-1<\/sup> <\/li>\n<\/ul>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-d11584f elementor-invisible elementor-widget elementor-widget-heading\" data-id=\"d11584f\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">Import\u00e2ncia para as aplica\u00e7\u00f5es t\u00e9cnicas<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-3334d97 elementor-invisible elementor-widget elementor-widget-text-editor\" data-id=\"3334d97\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<ul><li>Grandes diferen\u00e7as podem levar a tens\u00f5es e falhas no material.<\/li><li>A sele\u00e7\u00e3o precisa do material \u00e9 crucial para designs duradouros.<\/li><\/ul>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-c6db477 elementor-invisible elementor-widget elementor-widget-heading\" data-id=\"c6db477\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Aplica\u00e7\u00f5es pr\u00e1ticas e desafios<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-d04f6b1 elementor-invisible elementor-widget elementor-widget-heading\" data-id=\"d04f6b1\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">Significado intersectorial<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-aff03be elementor-invisible elementor-widget elementor-widget-text-editor\" data-id=\"aff03be\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>A dilata\u00e7\u00e3o t\u00e9rmica \u00e9 uma quest\u00e3o fundamental em in\u00fameras disciplinas t\u00e9cnicas. Dependendo da \u00e1rea de aplica\u00e7\u00e3o, pode ser utilizada de forma direcionada ou tem de ser ativamente compensada, de modo a evitar danos nos componentes ou perda de fun\u00e7\u00e3o. Medidas de design bem pensadas s\u00e3o essenciais, especialmente no caso de flutua\u00e7\u00f5es permanentes de temperatura, como ocorre em muitos ambientes t\u00e9cnicos.    <\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-5d66ef4 elementor-invisible elementor-widget elementor-widget-heading\" data-id=\"5d66ef4\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">\u00c1reas t\u00edpicas de aplica\u00e7\u00e3o do\n:<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-bb1baa1 elementor-invisible elementor-widget elementor-widget-text-editor\" data-id=\"bb1baa1\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<ul><li>Engenharia civil: As juntas de dilata\u00e7\u00e3o em pontes, faixas de rodagem ou condutas garantem que os materiais podem expandir-se ou contrair-se com as flutua\u00e7\u00f5es de temperatura sem causar fissuras ou danos estruturais.<\/li><li>Engenharia mec\u00e2nica: Em m\u00e1quinas e sistemas, os componentes com diferentes comportamentos de dilata\u00e7\u00e3o t\u00eam frequentemente de trabalhar em conjunto. Se estas diferen\u00e7as n\u00e3o forem tidas em conta, existe o risco de tens\u00f5es, fugas ou desgaste prematuro.   <\/li><li>Eletr\u00f3nica: As placas de circuitos impressos, os semicondutores e os inv\u00f3lucros s\u00e3o muitas vezes feitos de materiais diferentes. Uma combina\u00e7\u00e3o incorrecta com diferentes valores CTE pode levar a fracturas nas juntas de soldadura ou fissuras no material.   <\/li><li>Aeroespacial: Aqui, as exig\u00eancias s\u00e3o particularmente elevadas. Os componentes t\u00eam de suportar tanto o frio extremo no espa\u00e7o como o calor extremo na atmosfera &#8211; sem se deformarem ou perderem a sua fun\u00e7\u00e3o.   <\/li><\/ul>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-8366138 elementor-invisible elementor-widget elementor-widget-heading\" data-id=\"8366138\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">Exemplos da pr\u00e1tica<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-0f6c2cf elementor-invisible elementor-widget elementor-widget-text-editor\" data-id=\"0f6c2cf\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<ul><li>As vias f\u00e9rreas s\u00e3o colocadas com folgas para evitar a deforma\u00e7\u00e3o devida \u00e0 dilata\u00e7\u00e3o t\u00e9rmica.<\/li><li>O vidro borossilicato em recipientes de laborat\u00f3rio e de cozinha pode resistir a choques t\u00e9rmicos gra\u00e7as ao seu baixo coeficiente de expans\u00e3o.<\/li><li>A \u00e1gua expande-se quando congela &#8211; uma exce\u00e7\u00e3o que garante que o gelo flutua na \u00e1gua e a isola.<\/li><\/ul>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-8836db2 elementor-invisible elementor-widget elementor-widget-heading\" data-id=\"8836db2\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Conclus\u00e3o<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-492d64f elementor-invisible elementor-widget elementor-widget-text-editor\" data-id=\"492d64f\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>A dilata\u00e7\u00e3o t\u00e9rmica \u00e9 um fen\u00f3meno central na f\u00edsica e na tecnologia. O seu conhecimento exato e a sua medi\u00e7\u00e3o precisa com dilat\u00f3metros ou TMA permitem otimizar os materiais para a sua aplica\u00e7\u00e3o. Isto permite desenvolver produtos que funcionam de forma fi\u00e1vel mesmo sob condi\u00e7\u00f5es extremas &#8211; seja na ind\u00fastria, na investiga\u00e7\u00e3o ou na vida quotidiana.    <\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-16379ac elementor-invisible elementor-widget elementor-widget-heading\" data-id=\"16379ac\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Fontes recomendadas para um estudo aprofundado<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-2049310 elementor-invisible elementor-widget elementor-widget-text-editor\" data-id=\"2049310\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<ul><li><a href=\"https:\/\/www.leifiphysik.de\/waermelehre\/ausdehnung-bei-erwaermung\/grundwissen\/volumen-und-laengenaenderung-von-festkoerpern\" target=\"_blank\" rel=\"noopener\">LEIFIphysics: Varia\u00e7\u00e3o do volume e do comprimento dos s\u00f3lidos<\/a><br>(explica claramente os princ\u00edpios b\u00e1sicos da expans\u00e3o t\u00e9rmica)<\/li><li><a href=\"https:\/\/de.wikipedia.org\/wiki\/W%C3%A4rmeausdehnung\" target=\"_blank\" rel=\"noopener\">Wikip\u00e9dia: Expans\u00e3o t\u00e9rmica<\/a><br>(vis\u00e3o geral das formas, f\u00f3rmulas e valores t\u00edpicos)<\/li><li><a href=\"https:\/\/studyflix.de\/ingenieurwissenschaften\/waermeausdehnungskoeffizient-1091\" target=\"_blank\" rel=\"noopener\">Studyflix: Coeficiente de expans\u00e3o t\u00e9rmica<\/a><br>(Explica\u00e7\u00e3o compacta com f\u00f3rmulas e exemplos)<\/li><li><a href=\"https:\/\/tu-dresden.de\/mn\/physik\/ressourcen\/dateien\/studium\/lehrveranstaltungen\/praktika\/pdf\/TA.pdf?lang=de\" target=\"_blank\" rel=\"noopener\">TU Dresden Instru\u00e7\u00f5es do curso pr\u00e1tico: An\u00e1lise t\u00e9rmica<\/a><br>(m\u00e9todos de medi\u00e7\u00e3o com base cient\u00edfica, incluindo TMA e dilat\u00f3metro)<\/li><li><a href=\"https:\/\/www.ptb.de\/cms\/fileadmin\/internet\/fachabteilungen\/abteilung_5\/5.3_koordinatenmesstechnik\/texte\/f_dilatometer.pdf\" target=\"_blank\" rel=\"noopener\">PTB &#8211; Physikalisch-Technische Bundesanstalt: Dilat\u00f4metro<\/a><br>(Descri\u00e7\u00e3o t\u00e9cnica pormenorizada dos dilat\u00f4metros)<\/li><li><a href=\"https:\/\/wiki.polymerservice-merseburg.de\/index.php\/Thermomechanische_Analyse\" target=\"_blank\" rel=\"noopener\">Wiki do Servi\u00e7o de Pol\u00edmeros: An\u00e1lise termomec\u00e2nica<\/a><br>(Aplica\u00e7\u00e3o espec\u00edfica e modo de funcionamento da TMA)<\/li><li><a href=\"https:\/\/www.uni-due.de\/materials\/dilatometrie.shtml\" target=\"_blank\" rel=\"noopener\">Universidade de Duisburg-Essen: Dilatometria<\/a><br>(informa\u00e7\u00f5es b\u00e1sicas sobre a an\u00e1lise t\u00e9rmica de s\u00f3lidos)<\/li><\/ul>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>A expans\u00e3o t\u00e9rmica \u00e9 a altera\u00e7\u00e3o das dimens\u00f5es de um material devido a mudan\u00e7as de temperatura &#8211; um fator importante na constru\u00e7\u00e3o, engenharia e investiga\u00e7\u00e3o de materiais.<\/p>\n","protected":false},"author":15,"featured_media":85830,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"inline_featured_image":false,"footnotes":""},"categories":[654],"tags":[],"class_list":["post-103063","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-conhecimentos"],"acf":[],"_links":{"self":[{"href":"https:\/\/www.linseis.com\/pt-pt\/wp-json\/wp\/v2\/posts\/103063","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.linseis.com\/pt-pt\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.linseis.com\/pt-pt\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.linseis.com\/pt-pt\/wp-json\/wp\/v2\/users\/15"}],"replies":[{"embeddable":true,"href":"https:\/\/www.linseis.com\/pt-pt\/wp-json\/wp\/v2\/comments?post=103063"}],"version-history":[{"count":0,"href":"https:\/\/www.linseis.com\/pt-pt\/wp-json\/wp\/v2\/posts\/103063\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.linseis.com\/pt-pt\/wp-json\/wp\/v2\/media\/85830"}],"wp:attachment":[{"href":"https:\/\/www.linseis.com\/pt-pt\/wp-json\/wp\/v2\/media?parent=103063"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.linseis.com\/pt-pt\/wp-json\/wp\/v2\/categories?post=103063"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.linseis.com\/pt-pt\/wp-json\/wp\/v2\/tags?post=103063"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}